Question

In the figure below, AC is tangent to circle B. BA is a radius of circle B and A is a point of tangency. If AB is equal to 30 and AC is equal to 55, what is the approximate measure of segment BC rounded to the nearest tenth

Answer 1

I hope this helps you

Answer 2

From the picture you can see that presented triangle is right. The right angle is at point A. That means that we can use pythagorean theorem to find lenght of unknown side of triangle if we know lenghts of  2 others.

For this scenario we have lenghts of 2 legs (shorter sides of triangle) and we need to find hypothenuse.

Formula is this:
BC^2 = AC^2 + AB^2

BC^2 = 55^2 + 30^2
BC = 62.649

Once rounded we get that the answer is 62.6